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13305034770 = 2353114479887
BaseRepresentation
bin11000110010000101…
…01011100000010010
31021100020202210111120
430121002223200102
5204222042103040
610040125023110
7650465633556
oct143102534022
937306683446
1013305034770
115708388605
1226b39b4a96
131340643351
1490308d866
1552d1077d0
hex3190ab812

13305034770 has 64 divisors (see below), whose sum is σ = 32988266496. Its totient is φ = 3430837440.

The previous prime is 13305034741. The next prime is 13305034777. The reversal of 13305034770 is 7743050331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13305034777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340767 + ... + 1350653.

It is an arithmetic number, because the mean of its divisors is an integer number (515441664).

Almost surely, 213305034770 is an apocalyptic number.

13305034770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13305034770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16494133248).

13305034770 is an abundant number, since it is smaller than the sum of its proper divisors (19683231726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13305034770 is a wasteful number, since it uses less digits than its factorization.

13305034770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11375.

The product of its (nonzero) digits is 26460, while the sum is 33.

The spelling of 13305034770 in words is "thirteen billion, three hundred five million, thirty-four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1447 2894 4341 7235 8682 9887 14470 19774 21705 29661 43410 44857 49435 59322 89714 98870 134571 148305 224285 269142 296610 306497 448570 612994 672855 919491 1345710 1532485 1838982 3064970 4597455 9194910 14306489 28612978 42919467 71532445 85838934 143064890 214597335 429194670 443501159 887002318 1330503477 2217505795 2661006954 4435011590 6652517385 13305034770